D71E hexadecimal to binary

Here we will show you how to convert the hexadecimal number D71E to a binary number. First note that the hexadecimal number system has sixteen different digits (0 1 2 3 4 5 6 7 8 9 A B C D E F) and the binary number system has only two different digits (0 and 1).

The four steps used to convert D71E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in D71E by 16⁰, multiply the second to last digit in D71E by 16¹, multiply the third to last digit in D71E by 16², multiply the fourth to last digit in D71E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
1 × 16¹ = 16
7 × 16² = 1792
D × 16³ = 53248

Remember that the hexadecimal number system has sixteen different digits, so when doing the above calculation, we use the following values if applicable: A=10, B=11, C=12, D=13, E=14, and F=15.

Step 2)
Next, we add up all the products we got from Step 1, like this:

14 + 16 + 1792 + 53248 = 55070

Step 3)
Now we divide the sum from Step 2 by 2. Put the remainder aside. Then divide the whole part by 2 again, and put the remainder aside again. Keep doing this until the whole part is 0.

55070 ÷ 2 = 27535 with 0 remainder
27535 ÷ 2 = 13767 with 1 remainder
13767 ÷ 2 = 6883 with 1 remainder
6883 ÷ 2 = 3441 with 1 remainder
3441 ÷ 2 = 1720 with 1 remainder
1720 ÷ 2 = 860 with 0 remainder
860 ÷ 2 = 430 with 0 remainder
430 ÷ 2 = 215 with 0 remainder
215 ÷ 2 = 107 with 1 remainder
107 ÷ 2 = 53 with 1 remainder
53 ÷ 2 = 26 with 1 remainder
26 ÷ 2 = 13 with 0 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 remainder
1 ÷ 2 = 0 with 1 remainder

Step 4)
In the final step, we take the remainders from Step 3 and put them together in reverse order to get our answer to D71E hexadecimal to binary:

D71E hexadecimal = 1101011100011110 binary

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D71F hexadecimal to binary
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